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_{1}, v

_{2}, v

_{3}) that each have 3 components (i.e. x, y, z) how do you go about figuring out if vector w is in the subspace that is spanned by v

_{1}, v

_{2}, v

_{3}?

I know that span is the sum of scalar multiples of vectors for example:

αv

_{1}+ βv_{2}+ γv_{3}I am brand new to linear algebra and our professor decided to start in chapter 4 rather than from the beginning.

Thanks for your help!